GCF of 3714/219, 4318/5915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3714/219, 4318/5915 i.e 2/1295385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3714/219, 4318/5915.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3714/219,4318/5915?
Given fractions are 3714/219,4318/5915
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3714/219,4318/5915, numerators are 3714,4318
Denominators are 219,5915
The GCF of 3714,4318 is 2 .
LCM of 219,5915 is 1295385.
The greatest common factor of 3714/219,4318/5915 = [GCF of 3714,4318]/[LCM of 219,5915]= 2/1295385
Therefore, the GCF of 3714/219,4318/5915 is 2/1295385.
To find the highest common factor of 3714,4318, we have to find the factors of both numbers and list the highest common factor.
The factors of 3714 are 1, 2, 3, 6, 619, 1238, 1857, 3714
The factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318
The HCF of 3714,4318 is 2.
Lets's calculate GCF of 3714,4318
| 2 | 3714, 4318 |
| 1857, 2159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3714,4318 By Matching Biggest Common Factor Method
Now, list down the factors of 3714
:1,2,3,6,619,1238,1857,3714
Now, list down the factors of 4318
:1,2,17,34,127,254,2159,4318
Greatest Common Factor
We found the factors 3714,4318 . The biggest common factor number is the GCF number.
So the greatest common factor 3714,4318 is 2.
Lets's calculate LCM of 219,5915
Given numbers has no common factors except 1. So, there LCM is their product i.e 1295385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1295385
Therefore, the GCF of Fractions 3714/219,4318/5915 is 2/1295385
Least Common Multiple of 219,5915 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 219,5915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,5915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,5915) x common factors =1 x 1 = 1
LCM(219,5915) = ( 219 × 5915 ) / 1
LCM(219,5915) = 1295385 / 1
LCM(219,5915) = 1295385
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FAQs on GCF of Fractions of 3714/219, 4318/5915
1. What is the HCF of 3714,4318?
The HCF of 3714,4318 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3714/219, 4318/5915?
Answer: GCF of Numerators as per given numbers 3714/219, 4318/5915 is
GCF of Numerators i.e. for 3714,4318 is 2
LCM of denominators i.e. for 219,5915 is 1295385.
Thus, GCF of Fractions is 2/1295385.Finally, GCF of Fractions for 3714/219, 4318/5915 is 2/1295385.